LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 264/43, 289/51, 195/34

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 264/43, 289/51, 195/34 i.e 1/4386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 264/43, 289/51, 195/34.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 264/43,289/51,195/34?

Given fractions are 264/43,289/51,195/34

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 264/43,289/51,195/34, numerators are 264,289,195

Denominators are 43,51,34

The GCF of 264,289,195 is 1 .

LCM of 43,51,34 is 4386.

The greatest common factor of 264/43,289/51,195/34 = [GCF of 264,289,195]/[LCM of 43,51,34]= 1/4386

Therefore, the GCF of 264/43,289/51,195/34 is 1/4386.

Greatest Common Factor of 264,289,195

To find the highest common factor of 264,289,195, we have to find the factors of both numbers and list the highest common factor.

The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

The factors of 289 are 1, 17, 289

The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195

The HCF of 264,289,195 is 1.

Lets's calculate GCF of 264,289,195

Greatest Common Factor (GCF) of 264,289,195 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 264,289,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,289,195 By Matching Biggest Common Factor Method

Now, list down the factors of 264

:

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Now, list down the factors of 289

:

1,17,289

Now, list down the factors of 195

:

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 264,289,195 . The biggest common factor number is the GCF number.
So the greatest common factor 264,289,195 is 1.


Lets's calculate LCM of 43,51,34

Lowest Common Multiple of 43,51,34 using Common Division

17 43, 51, 34
43, 3, 2

∴ So the LCM of the given numbers is 17 x 43 x 3 x 2 = 4386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4386

Therefore, the GCF of Fractions 264/43,289/51,195/34 is 1/4386

Least Common Multiple of 43,51,34 with GCF Formula

Least Common Multiple of 43,51,34 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 43,51,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,51,34) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(43,51,34) x common factors =1 x 17 = 17

LCM(43,51,34) = ( 43 × 51 × 34 ) / 17

LCM(43,51,34) = 74562 / 17

LCM(43,51,34) = 4386


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 264/43, 289/51, 195/34

1. What is the HCF of 264,289,195?

The HCF of 264,289,195 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 264/43, 289/51, 195/34?

Answer: GCF of Numerators as per given numbers 264/43, 289/51, 195/34 is

GCF of Numerators i.e. for 264,289,195 is 1

LCM of denominators i.e. for 43,51,34 is 4386.

Thus, GCF of Fractions is 1/4386.Finally, GCF of Fractions for 264/43, 289/51, 195/34 is 1/4386.